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22014432064 = 261775726729
BaseRepresentation
bin10100100000001010…
…011001001101000000
32002211020001000112201
4110200022121031000
5330041143311224
614040245402544
71406352404452
oct244012311500
962736030481
1022014432064
119377633709
124324709454
1320cab35c81
1410cba5a2d2
1588ca2ea44
hex520299340

22014432064 has 56 divisors (see below), whose sum is σ = 46317423240. Its totient is φ = 10345660416.

The previous prime is 22014432059. The next prime is 22014432067. The reversal of 22014432064 is 46023441022.

It can be written as a sum of positive squares in 4 ways, for example, as 8465472064 + 13548960000 = 92008^2 + 116400^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22014432067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 810252 + ... + 836980.

Almost surely, 222014432064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22014432064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23158711620).

22014432064 is an abundant number, since it is smaller than the sum of its proper divisors (24302991176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22014432064 is a wasteful number, since it uses less digits than its factorization.

22014432064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27515 (or 27505 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 22014432064 its reverse (46023441022), we get a palindrome (68037873086).

The spelling of 22014432064 in words is "twenty-two billion, fourteen million, four hundred thirty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 757 1088 1514 3028 6056 12112 12869 24224 25738 26729 48448 51476 53458 102952 106916 205904 213832 411808 427664 454393 823616 855328 908786 1710656 1817572 3635144 7270288 14540576 20233853 29081152 40467706 80935412 161870824 323741648 343975501 647483296 687951002 1294966592 1375902004 2751804008 5503608016 11007216032 22014432064